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Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II: Fractals in Applied Mathematics [Pehme köide]

  • Formaat: Paperback / softback, 371 pages, kaal: 456 g
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Oct-2013
  • Kirjastus: American Mathematical Society
  • ISBN-10: 0821891480
  • ISBN-13: 9780821891483
Teised raamatud teemal:
  • Formaat: Paperback / softback, 371 pages, kaal: 456 g
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Oct-2013
  • Kirjastus: American Mathematical Society
  • ISBN-10: 0821891480
  • ISBN-13: 9780821891483
Teised raamatud teemal:
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoit Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology. economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on non-smooth spaces, the theory of billiards, harmonic analysis and spectral geometry). The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.
Preface vii
Statistical Mechanics and Quantum Fields on Fractals
1(22)
Eric Akkermans
Spectral Algebra of the Chernov and Bogoslovsky Finsler Metric Tensors
23(8)
Vladimir Balan
Local Multifractal Analysis
31(34)
Julien Barral
Arnaud Durand
Stephane Jaffard
Stephane Seuret
Extreme Risk and Fractal Regularity in Finance
65(30)
Laurent E. Calvet
Adlai J. Fisher
An Algorithm for Dynamical Games with Fractal-Like Trajectories
95(18)
David Carfi
Angela Ricciardello
The Landscape of Anderson Localization in a Disordered Medium
113(10)
Marcel Filoche
Svitlana Mayboroda
Zeta Functions for Infinite Graphs and Functional Equations
123(24)
Daniele Guido
Tommaso Isola
Vector Analysis on Fractals and Applications
147(18)
Michael Hinz
Alexander Teplyaev
Non-Regularly Varying and Non-Periodic Oscillation of the On-Diagonal Heat Kernels on Self-Similar Fractals
165(30)
Naotaka Kajino
Lattice Effects in the Scaling Limit of the Two-Dimensional Self-Avoiding Walk
195(16)
Tom Kennedy
Gregory F. Lawler
The Casimir Effect on Laakso Spaces
211(16)
Robert Kesler
Benjamin Steinhurst
The Decimation Method for Laplacians on Fractals: Spectra and Complex Dynamics
227(24)
Nishu Lal
Michel L. Lapidus
The Current State of Fractal Billiards
251(38)
Michel L. Lapidus
Robert G. Niemeyer
Long-Range Dependence and the Rank of Decompositions
289(18)
Celine Levy-Leduc
Murad S. Taqqu
Hitting Probabilities of the Random Covering Sets
307(18)
Bing Li
Narn-Rueih Shieh
Yimin Xiao
Fractal Oscillations Near the Domain Boundary of Radially Symmetric Solutions of p-Laplace Equations
325(20)
Yuki Naito
Mervan Pasic
Satoshi Tanaka
Darko Zubrinic
Applications of the Contraction Mapping Principle
345(14)
John R. Quinn
Economics and Psychology. Perfect Rationality versus Bounded Rationality
359
Daniele Schiliro
David Carfi, University of Messina, Italy, USA

Michel L. Lapidus, University of California, Riverside, CA, USA

Erin P. J. Pearse, California Polytechnic State University, San Luis Obispo, CA, USA

Machiel van Frankenhuijsen, Utah Valley University, Orem, UT, USA